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Olegator [25]
3 years ago
13

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?

Mathematics
1 answer:
RSB [31]3 years ago
4 0
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
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A newborn baby weighs 8 pounds and decreases his weight by 5% every week how much does the baby weigh after 20 weeks?
Feliz [49]

Answer:

in 20 weeks the baby will weigh nothing and is definitely dead

Step-by-step explanation:

5% of 8 is . 4

.4 x 20 is 8

5 0
3 years ago
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Complete parts (a) and (b) using the probability distribution below.
katen-ka-za [31]
Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066) 
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance  = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D
<span>
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
7 0
3 years ago
What is the repeating or terminating decimal that is equivalent to 11/36
Oduvanchick [21]

Answer:

0.30555555....

Step-by-step explanation:

(The fives keep on coming, this is a repeating decimal.)

3 0
3 years ago
Find the equation of the axis of symmetry of the following parabola algebraically.<br> y=2x^2+16.
Inessa05 [86]

Answer:

x = 0

axis of symmbery = -b/2a or x vertex on quadratic equation

0/4=0

x=0

Step-by-step explanation:

3 0
3 years ago
to determine a student's grade, a teacher throws out the lowest grade obtained on 5 tests, averages the remaining grades, and ro
RoseWind [281]

Answer:

B grade

Step-by-step explanation:

75 + 90 + 88 + 86 = 339

339/4 = 84.75

Grade B = 80-89%

3 0
3 years ago
Read 2 more answers
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